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Question 2: The National Center for Health Statistics reports that the systolic blood pressure for males 35 to 44 years of age has a mean of 128. In a study of business executives, a random sample of 100 executives has a mean systolic blood pressure of 134. Do the data suggest that the mean systolic blood pressure for business executives is higher than 128?

Question

Question 2: The National Center for Health Statistics reports that the systolic blood pressure for males 35 to 44 years of age has a mean of 128. In a study of business executives, a random sample of 100 executives has a mean systolic blood pressure of 134. Do the data suggest that the mean systolic blood pressure for business executives is higher than 128?

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Solution

To answer this question, we would typically perform a hypothesis test. Here are the steps:

  1. State the Hypotheses: The null hypothesis would be that the mean systolic blood pressure for business executives is not higher than 128 (H0: μ ≤ 128). The alternative hypothesis would be that the mean systolic blood pressure for business executives is higher than 128 (H1: μ > 128).

  2. Choose a Significance Level: Typically, we might choose a significance level of 0.05, but this can vary depending on the context.

  3. Calculate the Test Statistic: In this case, we would likely use a one-sample t-test. The formula for the test statistic in a one-sample t-test is (sample mean - population mean) / (standard deviation / sqrt(sample size)). However, we don't have the standard deviation in this problem, so we can't calculate the test statistic.

  4. Determine the P-Value: The P-value is the probability of observing a test statistic as extreme as the one we calculated (or more extreme) if the null hypothesis is true. We would typically use statistical software or a t-distribution table to find this value, but again, we can't do this without the standard deviation.

  5. Make a Decision: If the P-value is less than our significance level, we would reject the null hypothesis and conclude that the data suggest the mean systolic blood pressure for business executives is higher than 128. If the P-value is greater than our significance level, we would not reject the null hypothesis.

Without the standard deviation, we can't complete this hypothesis test. However, we can say that the sample mean is higher than the population mean, which suggests that the mean systolic blood pressure for business executives might be higher than 128.

This problem has been solved

Similar Questions

For the following scenarios, give the null and alternative hypotheses and state in words what µ represents in your hypotheses.Question 2: The National Center for Health Statistics reports that the systolic blood pressure for males 35 to 44 years of age has a mean of 128. In a study of business executives, a random sample of 100 executives has a mean systolic blood pressure of 134. Do the data suggest that the mean systolic blood pressure for business executives is higher than 128?

Suppose that the mean systolic blood pressure for women over age seventy is 132 mmHg (millimeters of mercury), with a standard deviation of 9 mmHg. Suppose that the blood pressures are normally distributed. Complete the following statements.(a) Approximately 68% of women over seventy have blood pressures between mmHg and mmHg.(b) Approximately of women over seventy have blood pressures between 105 mmHg and 159 mmHg.

For males in a certain town, the systolic blood pressure is normally distributed with a mean of 105 and a standard deviation of 10. Using the empirical rule, determine the interval of systolic blood pressures that represent the middle 99.7% of males.

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Assume that the population of diastolic measurement for blood pressure is normally distributed with a mean of 72 and a standard deviation of 12. What proportion of the population would have a diastolic measurement above 93. Draw the Normal distribution, and shade the region that correspond the proportion.

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